1205342208 has 312 divisors, whose sum is σ = 4150281408. Its totient is φ = 342392832.

The previous prime is 1205342207. The next prime is 1205342227. The reversal of 1205342208 is 8022435021.

1205342208 is a `hidden beast` number, since 120 + 534 + 2 + 2 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1205342207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6967210 + ... + 6967382.

It is an arithmetic number, because the mean of its divisors is an integer number (13302184).

Almost surely, 2^1205342208 is an apocalyptic number.

1205342208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1205342208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2075140704).

1205342208 is an abundant number, since it is smaller than the sum of its proper divisors (2944939200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1205342208 is an frugal number, since it uses more digits than its factorization.

1205342208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1205342208 is about 34718.0386542788. The cubic root of 1205342208 is about 1064.2331635166.

Adding to 1205342208 its reverse (8022435021), we get a palindrome (9227777229).

The spelling of 1205342208 in words is "one billion, two hundred five million, three hundred forty-two thousand, two hundred eight".